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11 May, 11:40

Determine whether each equation defines y as function of x, 2x+y=8

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  1. 11 May, 12:36
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    Yes. This equation defines y as function of x.

    Step-by-step explanation:

    Step 1:

    Solve the equation for y (this puts the equations in terms of y)

    2x+y=8 becomes

    y = 2x - 8

    This is a linear equation, which is a funtion.

    *Another way to solve this is to look at the graph. Graphing this equation gives us a line. Use the vertical line test to see if it's a function.

    To pass the vertical line test (VLT), there can only be one y value to each x value along the graph. If it passes the VLT, the equation is a function.

    If it fails the VRT, the equation is not a function.
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